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Finding the Fourth Proportional to 31,998.49, 47,958.81 and 22,641.21

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Solution

The fourth proportional to 31,998.49, 47,958.81 and 22,641.21 is: 33,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.49 : 47,958.81 = 22,641.21 : x
  2. Step 2: Convert to fraction form
    31,998.49/47,958.81 = 22,641.21/x
  3. Step 3: Cross multiply
    31,998.49x = 47,958.81 × 22,641.21
  4. Step 4: Simplify right side
    31,998.49x = 1,085,845,488.56
  5. Step 5: Solve for x
    x = 1,085,845,488.56/31,998.49
  6. Step 6: Final answer
    x = 33,934.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.